The parabolic Harnack inequality for nonlocal equations
Kaßmann M, Weidner M (Accepted)
arXiv:2303.05975.
Preprint
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Autor*in
Kaßmann, MoritzUniBi ;
Weidner, Marvin
Einrichtung
Abstract / Bemerkung
We complete the local regularity program for weak solutions to linear
parabolic nonlocal equations with bounded measurable coefficients. Within the
variational framework we prove the parabolic Harnack inequality and H\"older
regularity estimates. We discuss in detail the shortcomings of previous results
in this direction. The key element of our approach is a fine study of the
nonlocal tail term.
to appear in Duke Mathematical Journal
to appear in Duke Mathematical Journal
Erscheinungsjahr
2023
Zeitschriftentitel
arXiv:2303.05975
Page URI
https://pub.uni-bielefeld.de/record/2986706
Zitieren
Kaßmann M, Weidner M. The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975. Accepted.
Kaßmann, M., & Weidner, M. (Accepted). The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975. https://doi.org/10.48550/arXiv.2303.05975
Kaßmann, Moritz, and Weidner, Marvin. Accepted. “The parabolic Harnack inequality for nonlocal equations”. arXiv:2303.05975.
Kaßmann, M., and Weidner, M. (Accepted). The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975.
Kaßmann, M., & Weidner, M., Accepted. The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975.
M. Kaßmann and M. Weidner, “The parabolic Harnack inequality for nonlocal equations”, arXiv:2303.05975, Accepted.
Kaßmann, M., Weidner, M.: The parabolic Harnack inequality for nonlocal equations. arXiv:2303.05975. (Accepted).
Kaßmann, Moritz, and Weidner, Marvin. “The parabolic Harnack inequality for nonlocal equations”. arXiv:2303.05975 (Accepted).